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Finding the Third Proportional to 8,267 and 17,353

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Solution

The third proportional to 8,267 and 17,353 is: 36,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267 : 17,353 = 17,353 : x
  2. Step 2: Convert to fraction form
    8,267/17,353 = 17,353/x
  3. Step 3: Cross multiply
    8,267x = 17,353 × 17,353
  4. Step 4: Simplify right side
    8,267x = 301,126,609
  5. Step 5: Solve for x
    x = 301,126,609/8,267
  6. Step 6: Final answer
    x = 36,425.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.